6(3x+1)+6(3x+1)=100

Solution for 6(3x+1)+6(3x+1)=100 equation:

Simplifying
6(3x + 1) + 6(3x + 1) = 100

Reorder the terms:
6(1 + 3x) + 6(3x + 1) = 100
(1 * 6 + 3x * 6) + 6(3x + 1) = 100
(6 + 18x) + 6(3x + 1) = 100

Reorder the terms:
6 + 18x + 6(1 + 3x) = 100
6 + 18x + (1 * 6 + 3x * 6) = 100
6 + 18x + (6 + 18x) = 100

Reorder the terms:
6 + 6 + 18x + 18x = 100

Combine like terms: 6 + 6 = 12
12 + 18x + 18x = 100

Combine like terms: 18x + 18x = 36x
12 + 36x = 100

Solving
12 + 36x = 100

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 36x = 100 + -12

Combine like terms: 12 + -12 = 0
0 + 36x = 100 + -12
36x = 100 + -12

Combine like terms: 100 + -12 = 88
36x = 88

Divide each side by '36'.
x = 2.444444444

Simplifying
x = 2.444444444